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Finding the Fourth Proportional to 1,706.13, 2,558.62 and 551.61

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Solution

The fourth proportional to 1,706.13, 2,558.62 and 551.61 is: 827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.13 : 2,558.62 = 551.61 : x
  2. Step 2: Convert to fraction form
    1,706.13/2,558.62 = 551.61/x
  3. Step 3: Cross multiply
    1,706.13x = 2,558.62 × 551.61
  4. Step 4: Simplify right side
    1,706.13x = 1,411,360.38
  5. Step 5: Solve for x
    x = 1,411,360.38/1,706.13
  6. Step 6: Final answer
    x = 827.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.